An effort based on the kinetic model allowed by Landau-Ginzburg-Devonshire theory is presented here. The formation of vortex, antivortex states in ferroelectric films are reported and theoretically explained. Phase transition in toroidal moment is observed. Vortex-antivortex-vortex (V-AV-V) triplet is generated by applying inhomogeneous transverse static localized fields in x-y plane. A specific boundary condition is used to keep the spirit of vortex state i.e. the net polarization across the boundary is always zero. %This is neither a periodic nor an open circuit electric boundary condition.
@article{arxiv.1106.3191,
title = {Formation of vortex and antivortex polarization states in ferroelectric films},
author = {Manas Kumar Roy and Sushanta Dattagupta},
journal= {arXiv preprint arXiv:1106.3191},
year = {2011}
}